What is the Greatest Common Factor of 9568 and 9582?

Greatest common factor (GCF) of 9568 and 9582 is 2.

GCF(9568,9582) = 2

We will now calculate the prime factors of 9568 and 9582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9568 and 9582.

How to find the GCF of 9568 and 9582?

We will first find the prime factorization of 9568 and 9582. After we will calculate the factors of 9568 and 9582 and find the biggest common factor number .

Step-1: Prime Factorization of 9568

Prime factors of 9568 are 2, 13, 23. Prime factorization of 9568 in exponential form is:

9568 = 2⁵ × 13¹ × 23¹

Step-2: Prime Factorization of 9582

Prime factors of 9582 are 2, 3, 1597. Prime factorization of 9582 in exponential form is:

9582 = 2¹ × 3¹ × 1597¹

Step-3: Factors of 9568

List of positive integer factors of 9568 that divides 9568 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784

Step-4: Factors of 9582

List of positive integer factors of 9582 that divides 9568 without a remainder.

1, 2, 3, 6, 1597, 3194, 4791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9568 and 9582. The biggest common factor number is the GCF number.
So the greatest common factor 9568 and 9582 is 2.

Also check out the Least Common Multiple of 9568 and 9582